Three-Cornered Hat versus Allan Covariance

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TitreThree-Cornered Hat versus Allan Covariance
Type de publicationConference Paper
Year of Publication2016
AuteursVernotte F, Calosso CEligio, Rubiola E
Conference Name2016 IEEE International Frequency Control Symposium (IFCS)
PublisherIEEE; UFFC
Conference Location345 E 47TH ST, NEW YORK, NY 10017 USA
ISBN Number978-1-5090-2091-1
Mots-clésCovariance, phase noise, Stability analysis, time-domain analysis
Résumé

The Three-Cornered Hat is a widely used method to measure the oscillator stability (variance) by comparing three statistically independent units. The Grolambert (two-sample) Covariance (GCOV) is an alternate and equivalent approach, which has the advantage of rejecting the instrument PM noise. This method, left aside in the early time when the time-domain analysis was used only for slow phenomena, is now of renewed interest for recent oscillators (sapphire and photonic oscillators, and femtosecond combs) which exhibit the highest stability at short term. We revisit the Groslambert Covariance, we compare it to the Three-Cornered Hat, and we show analytically and experimentally its appealing properties.